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Minnesota Standards

Minnesota 7th Grade Math Standards

All 35 Minnesota math standards for 7th grade, each explained in plain English. The official wording is in Minnesota Department of Education's document, linked at the end of this page.

35 standards

Data and Probability

12 standards
7.1.1.1
Pose statistical questions that compare groups using a sample, like do 7th graders sleep more than 8th graders, with number or category data and cultural awareness.
7.1.1.2
Explain how a sample can tell us about a whole population, and why only a fair, representative sample, often picked at random, supports a sound conclusion.
7.1.1.3
Draw conclusions about a whole group from statistics of a random sample, like estimating a school's favorite lunch from 40 students.
7.1.1.4
Describe data by its center, spread and shape, and compare two populations using means, medians and spreads of random samples, explaining which measures fit.
7.1.1.5
Make a display of a data set, like a table, circle graph or histogram, with labels and details that help tell the data's story.
7.1.1.6
Compare and share several explanations for a data trend, weighing alternatives given how results vary, how samples were taken and different cultural views.
7.1.2.1
Find probability as a part of all outcomes or as a part of an area, like landing on a shaded region, written as a fraction, decimal or percent.
7.1.2.2
Estimate an unknown probability by running many trials and watching the long-run frequency, writing it from 0 to 1 as a fraction, decimal or percent, and predict with it.
7.1.2.3
Explain that the probability of a combined event, like two heads in two flips, is the share of all outcomes where it happens, just like a single event.
7.1.2.4
Lay out all outcomes of combined events with organized lists, tables or tree diagrams, and pick out the outcomes that match an event described in words.
7.1.2.5
Build and run a computer simulation that produces frequencies for combined events, like rolling two dice many times.
7.1.2.6
Find probabilities of combined events, like rolling a sum of 7 with two dice, using lists, tables, tree diagrams or computer simulations.

Spatial Reasoning

8 standards
7.2.3.1
Show that a circle's circumference is proportional to its diameter, with π as the unit rate, like by measuring round objects and dividing.
7.2.3.2
Find the circumference and area of circles to solve real problems, like the fencing or sod needed for a round garden.
7.2.3.3
Use a central angle to find the arc length and area of a slice of a circle, like a pizza slice, in real problems.
7.2.3.4
Find the surface area and volume of cylinders and explain why the formulas work, like seeing the side as a rolled-up rectangle.
7.2.4.1
Graph slides and flips of shapes on a coordinate grid, give the new vertex coordinates, and explain why the image stays the same size and shape.
7.2.4.2
Explain what makes figures similar versus congruent, check whether two shapes are similar, and find the scale factor between them.
7.2.4.3
Use scale factors and ratios of lengths and areas to find missing sides and areas of similar figures, like doubling sides makes area 4 times as big.
7.2.4.4
Use ratios to solve scale drawing problems and convert units, like a map where 1 inch stands for 20 miles.

Patterns and Relationships

15 standards
7.3.5.1
Know every rational number is a fraction of two integers and a decimal that ends or repeats, and that π is not rational but close to 22/7 or 3.14.
7.3.5.2
Explain that opposite signs mean opposite sides of 0, that the opposite of the opposite of 5 is 5 again, and that 0 is its own opposite.
7.3.5.3
Compare positive and negative fractions and decimals in any form using <, >, =, ≤ and ≥, like -2.5 < -1/2.
7.3.5.4
Treat subtracting as adding the opposite, like 5 - 8 = 5 + -8, and find the distance between two numbers as the absolute value of their difference in real problems.
7.3.5.5
Plan a budget for an event with income and costs as positive and negative numbers, find each category's percent of the total, and defend the choices.
7.3.5.6
Add, subtract, multiply and divide positive and negative integers, fractions and decimals that end with reliable methods, and raise positive numbers to whole-number powers.
7.3.5.7
Find unit rates from ratios of fractions, like walking 1/2 mile in 1/4 hour is 2 miles per hour, with same or different units.
7.3.6.1
Rewrite number and variable expressions with fractions, parentheses and exponents into equal forms using the commutative, associative and distributive properties.
7.3.6.2
Write and solve two-step equations and inequalities with positive and negative numbers from real situations, like 3x - 5 = 16, then graph and explain inequality solutions.
7.3.6.3
Evaluate expressions with fractions, absolute value and exponents for given variable values by following the order of operations, like 2x² + 5 when x = -3.
7.3.6.4
Work through multi-step proportion problems in many real settings by scaling ratio tables up and down, drawing tape diagrams or double number lines, or writing equations.
7.3.6.5
Solve multi-step money problems with simple interest, tax, tips, markups, discounts, fees, commission and percent change or error, and tell sales tax from income tax.
7.3.7.1
Show a proportional relationship as a table, words, an equation and a graph, switch between them, and find the unit rate from any one.
7.3.7.2
Identify a relationship as proportional when it fits y = kx, like y = 4x, and tell it apart from ones that are not, such as y = 4x + 2.
7.3.7.3
Test whether two quantities are proportional by checking for equal ratios in a table or a straight graph through the origin, and use graphing tools to link unit rate and line.

The official Minnesota documents

The plain-English lines on this page are EMStudio's own explanations of Minnesota's standards, not the official wording, which Minnesota Department of Education publishes in the documents above. Codes and strand names identify each standard.